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Finding the Third Proportional to 104.95 and 163.20

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Solution

The third proportional to 104.95 and 163.20 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.95 : 163.20 = 163.20 : x
  2. Step 2: Convert to fraction form
    104.95/163.20 = 163.20/x
  3. Step 3: Cross multiply
    104.95x = 163.20 × 163.20
  4. Step 4: Simplify right side
    104.95x = 26,632.71
  5. Step 5: Solve for x
    x = 26,632.71/104.95
  6. Step 6: Final answer
    x = 253.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.